On the essential hyperbolicity of sectional-Anosov flows
2013
Online
report
We prove that every sectional-Anosov flow of a compact 3-manifold $M$ exhibits a finite collection of hyperbolic attractors and singularities whose basins form a dense subset of $M$. Applications to the dynamics of sectional-Anosov flows on compact 3-manifolds include a characterization of essential hyperbolicity, sensitivity to the initial conditions (improving \cite{ams}) and a relationship between the topology of the ambient manifold and the denseness of the basin of the singularities.
Titel: |
On the essential hyperbolicity of sectional-Anosov flows
|
---|---|
Autor/in / Beteiligte Person: | Bautista, S. ; Morales, C. A. |
Link: | |
Veröffentlichung: | 2013 |
Medientyp: | report |
Schlagwort: |
|
Sonstiges: |
|